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Finding the Third Proportional to 3,692,665.50 and 7,678,875

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Solution

The third proportional to 3,692,665.50 and 7,678,875 is: 15,968,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692,665.50 : 7,678,875 = 7,678,875 : x
  2. Step 2: Convert to fraction form
    3,692,665.50/7,678,875 = 7,678,875/x
  3. Step 3: Cross multiply
    3,692,665.50x = 7,678,875 × 7,678,875
  4. Step 4: Simplify right side
    3,692,665.50x = 58,965,121,265,625
  5. Step 5: Solve for x
    x = 58,965,121,265,625/3,692,665.50
  6. Step 6: Final answer
    x = 15,968,172.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.